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Finding the Fourth Proportional to 9,676.20, 14,502.96 and 4,471.14

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Solution

The fourth proportional to 9,676.20, 14,502.96 and 4,471.14 is: 6,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.20 : 14,502.96 = 4,471.14 : x
  2. Step 2: Convert to fraction form
    9,676.20/14,502.96 = 4,471.14/x
  3. Step 3: Cross multiply
    9,676.20x = 14,502.96 × 4,471.14
  4. Step 4: Simplify right side
    9,676.20x = 64,844,764.57
  5. Step 5: Solve for x
    x = 64,844,764.57/9,676.20
  6. Step 6: Final answer
    x = 6,701.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.